89347456 has 128 divisors (see below), whose sum is σ = 211507200. Its totient is φ = 37171200.

The previous prime is 89347451. The next prime is 89347457. The reversal of 89347456 is 65474398.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

Its product of digits (725760) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89347451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003860 + ... + 1003948.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^89347456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

89347456 is an abundant number, since it is smaller than the sum of its proper divisors (122159744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89347456 is a wasteful number, since it uses less digits than its factorization.

89347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 89347456 is about 9452.3783250566. The cubic root of 89347456 is about 447.0547672654.

The spelling of 89347456 in words is "eighty-nine million, three hundred forty-seven thousand, four hundred fifty-six".